Higher Spin Gauge Theory and Holography: The Three-Point Functions

Dec, 2009
90 pages
Published in:
  • JHEP 09 (2010) 115
e-Print:

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Abstract: (arXiv)
In this paper we calculate the tree level three-point functions of Vasiliev's higher spin gauge theory in AdS4 and find agreement with the correlators of the free field theory of N massless scalars in three dimensions in the O(N) singlet sector. This provides substantial evidence that Vasiliev theory is dual to the free field theory, thus verifying a conjecture of Klebanov and Polyakov. We also find agreement with the critical O(N) vector model, when the bulk scalar field is subject to the alternative boundary condition such that its dual operator has classical dimension 2.
Note:
  • 90 pages, 5 figures; v4, minor changes in the introduction
  • AdS-CFT Correspondence
  • Models of Quantum Gravity
  • 1/N Exp ansion
  • gauge field theory
  • spin: high
  • model: vector
  • symmetry: O(N)
  • n-point function: 3
  • field theory: scalar
  • correlation function